+8 If f(x) = find lim f(x).

Q: How does the function behave as lim x → 3- for 7/(3(x-3)(5-x))?

A:

Q: If 4x - 9  ≤f(x) ≤ x2 -4x +7 for x ≥ 0  , find lim x->4 f(x) .

A: We apply limit on all the sides of the given inequality.

Q: Evaluate the limit. x² +3x - 10 lim-5 2x + 10

A:

Q: If f(x) = (1+%) 3 ) 6x *", find lim f(x).

A: We have to find limx→∞fx when fx=1+3x6x If we put limit value then we get that it is 1∞ form We know…

Q: If 3x - 4 s f(x) sx2 - 3x + 5 for x 2 0, find lim f(x). x-3

A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

Q: If / 10 - 7x2 sf(x)s/10 – x² for - 1<x<1, find lim f(x). lim f(x) = x→0

A:

Q: If 3x < f(x) < x³ + 2 for 0 < x < 2, find lim f(x). x-1

A:

Q: IF FLX)= and Lim F(X)6 F(-)=2 b X<l Find a,b when X#0

A:

Q: Find lim f(x).

A: Given limit, limx→2f(x)

Q: Hence, find the value of lim f(x). x→-3 lim f(x) Enter your next step h x→-3

A: Given,          Consider the graph of a function, fx , shown below :

Q: If 2x - 2s f(x) sx² - 2x + 2 for x 2 0, find lim f(x). x-2

A:

Q: Find the limit. x!000 lim x→+0 et

A:

Q: If lim as f(x)-4/x-3=2 as x approaches 5, find lim f(x) as x approaches 5.

A: We have

Q: Find the limit of the function lim x → − 6 ( 2 x + 12 | x + 6 | )

A: Find the limit

Q: If 3x 2 s f(x) s x² - 3x +7 for x 2 0, find lim f(x). x3

A: Given:  3x-2 ≤ f(x) &lt;= x²-3x + 7 for x ≥ 0

Q: ; Be h(x) = - 2x + 1, x + 3 calculate lim h(x) 7,x = 3 x-3

A:

Q: Evaluate in terms of the constant a.

A: We have to find the limit in terms of constant a: limx→02a+x This is determinate limit so we need to…

Q: Evaluate the limit.

A: Given:                     limx→∞e4x-1-4xx2 Dividing the numerator by highest power denominator:…

Q: If 3x – 1 0, find lim f(x). X→3

A: Given query is to find the indicated limit.

Q: If 2x − 1 ≤ f(x) ≤ x2 − 2x + 3 for x ≥ 0, find  lim x→2 f(x)

A: The Sandwich theorem is given by, If, g(x)≤fx≤hx And, limx→agx=limx→ahx=L Then, limx→afx=L

Q: Find the limit L.

A: Given: L=limx→4x2+6

Q: b) limx-2+ 72-4 x²– 4

A: To evaluate: limx→2+x-2x2-4

Q: if x 3 If f (x)

A:

Q: Find the limit 1-ex lim x+0 10x2 – 18x

A: Here we have to use the concept of limit.

Q: If 2x − 1 ≤ f(x) ≤ x2 − 2x + 3 for x ≥ 0, find lim x→2 f(x).

A: From Sandwich theorem

Q: Guess the value of lim x 0 (tanx-x)/x3

A: Given :          limx→0tanx-xx3

Q: Find the limit.

A: The limit of a function limx→Xfx=Y means that the value of function fx can be as close to Y by…

Q: lim,-1 f(x) =

A:

Q: If 5-4x sf(x)s5-x for - 1<xs1, find lim f(x), lim f(x)%= f(x) =D

A:

Q: d) (x+27) -3 X lim-

A:

Q: If 3x – 2 s f(x) < x² - 3x + 7 for x 2 0, find lim f(x). X3

A: 3x-2≤f(x)≤x2-3x+7

Q: Given f(x) = 3/(4-x)3 , evaluate limx=4+ f(x)

A:

Q: f-x² + 10x - 25 < g(x) < a² - < 10x + 25 for 4 <x 6, evaluate lim, →5 9(x).

A:

Q: Vx-3-V9-x 3. lim X-6

A: Solving the problem by finding the limit of th3 function.

Q: Jx +3 Find the limit. If it doesn't exist, explain why. lim x->9 x-9

A: limx-&gt;9x+3x-9

Q: Vz - vā lim х-а 11(х — а) xa

A: Given - Function  To Find - Limit of function

Q: Evaluate the limit 2x + 4 lim I→ 0 3x2 - 7x + 7

A: Given

Q: Find the limit L. 2x+12x+ 10 lim x+5

A:

Q: Find Lim as attached. f(x) = x2 − 4x

A: Given: fx=x2-4x   limx→0fx+x-fxx=?

Q: If 3x - 2 0, find lim f(x) X→3

A: The given inequality is: 3x-2≤f(x)≤x2-3x+7

Q: If 3x − 3 ≤ f(x) ≤ x2 − 3x + 6 for x ≥ 0, find  lim x→3 f(x).

A: Consider the following limit condition: g(x)≤f(x)≤h(x)and iflimg(x)=Lx→alimh(x)=Lx→aThen…

Q: If /10 - 7x sf(x)s/10 -x for -15xs1, find lim f(x). x-0

A:

Q: Suppose that limx→2[f(x)+x2]=α. Find  limx→1(x+1)f(2x)

A:

Q: If 3-2x sf(x)s3-x for -1sxs1, find lim f(x). lim f(x) =|

A: Calculate left hand limit and right hand limit than find the limit using sandwich theorem.

Q: f(x) – 4 If lim х-з х-2 3, find lim f(x). x-3

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Evaluate the limit. 8x 4 lim x→4 \x² – 16 X -4,

A: To evaluate the limit: limx→48xx2-16-4x-4 Solution: We can find that if we evaluate limit then we…

Q: Let flx)= S2x-1 if x>3 what is lim f(x) ? 2x+2ifX<3, what is lim flx)? メ-3 とラメふとす

A: Given: fx=2x-1if x&gt;3x+2if x≤3

Q: -x2 if x 3 Iff (x)

A: Take value of f(x) for value of x just less than zero.

Q: Find lim f(x) X+ 0-

A:

Q: 10. lim is X-- А. со B. -00 С. -1 D. 1

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.